Finding the Third Proportional to 114,093 and 177,362.25

Step by Step Solution

1. Step 1: Write the proportion equation
   114,093 : 177,362.25 = 177,362.25 : x
2. Step 2: Convert to fraction form
   114,093/177,362.25 = 177,362.25/x
3. Step 3: Cross multiply
   114,093x = 177,362.25 × 177,362.25
4. Step 4: Simplify right side
   114,093x = 31,457,367,725.06
5. Step 5: Solve for x
   x = 31,457,367,725.06/114,093
6. Step 6: Final answer
   x = 275,716.90